These are lecture notes from the conference Arithmetic Topology at the Pacific Institute of Mathematical Sciences on applications of Morel’s \({\mathbb {A}}^1\)-degree to questions in enumerative geometry. Additionally, we give a new dynamic interpretation of the \({\mathbb {A}}^1\)-Milnor number inspired by the first-named author’s enrichment of dynamic intersection numbers.

中文翻译：

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$$ {\ mathbb {A}} ^ 1 $$ A 1的应用-$$ {\ mathbb {A}} ^ 1 $$ A 1-度的枚举几何

这些是太平洋数学科学学院的算术拓扑学会议上关于莫雷尔的\（{\ mathbb {A}} ^ 1 \）-度在枚举几何问题中的应用的演讲注解。另外，我们对\（{\ mathbb {A}} ^ 1 \）- Milnor数进行了新的动态解释，该数字受第一作者对动态交点数的丰富化的启发。